F C 
oh _ 
h R 
P D 
HF _ 
F R 
7> - 
rt — 
t C = 
C 359 3 
HO. The Trapezias fgZ<r, pdfr, frt c, are umilar, and confequently their 
correfponding parts are proportional. 
r f "j 
R P l 
For the triangles rf h> rpf, and f hG, fpd, are fi'rnilar. 
Hi. The Trapezias CgPD, Icmp are fimilar, and confcouently their correfpond- 
ing parts, are proportionals 
That is, ^ = 
t C CM PM Vf 
H2. And cr, cr, are parallel to pf, and equal to caC. 
For RT^ — CTP IT rTF. 
1 13. Let S' re fine of the z. t vf or tpf ; R rr tabular radius. 
Then 4 = | , r£ = )A=^:. 
S' \/r c 
Put X =1 fine of thez.PCQ_, made by any diameter and its ordinate. 
Th'°-^=i//±VV*. r *'‘ 
t*c z 1 1 T a/ 
rr -5 — =1 ff±V 
F + 00 
T 2 c"2 
114. Let the parallels PFri, C.Sr 5 pf n be drawn, cutting the curve in n, 0 , if-y and’ 
erdinately applied to forne diameter (2?), whofe parameter is 2^, and femi- 
conjugate ci 3 — %■, to which ps is ordinately applied at 
/ ,F + »f_PK ± Fn_ 
2 ‘ 21 2 2 V Cr ' AC t t 
Then — 
\ 2 
— 2. . — — - — / — 1 PF n v tt 
1 1$. eg = (I A.c XPH-r J X£+z = \^Ae x— — zz\ 
AF « CC 
t 
^ rp_ 2 _ FD _ tz. CC 
FlI z' FA CC — tz' 
p — a 
117. PFn — ~lpxz +z' rr \p XPn, 
2 Z / 
i:i 8 . pn — z + z' r: 
2 z z 2 7TT r 
— — r:-X2«: 
2 x — /> / / 
—2 
CB 
